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Finding the Fourth Proportional to 5,730, 8,602.24 and 4,954.96

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Solution

The fourth proportional to 5,730, 8,602.24 and 4,954.96 is: 7,438.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,730 : 8,602.24 = 4,954.96 : x
  2. Step 2: Convert to fraction form
    5,730/8,602.24 = 4,954.96/x
  3. Step 3: Cross multiply
    5,730x = 8,602.24 × 4,954.96
  4. Step 4: Simplify right side
    5,730x = 42,623,755.11
  5. Step 5: Solve for x
    x = 42,623,755.11/5,730
  6. Step 6: Final answer
    x = 7,438.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.